Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces

A Taiwo, TO Alakoya, OT Mewomo - Numerical algorithms, 2021 - Springer
In this paper, we study the split common fixed point and monotone variational inclusion
problem in uniformly convex and 2-uniformly smooth Banach spaces. We propose a Halpern …

On split monotone variational inclusion problem with multiple output sets with fixed point constraints

VA Uzor, TO Alakoya, OT Mewomo - Computational Methods in …, 2023 - degruyter.com
In this paper, we introduce and study the concept of split monotone variational inclusion
problem with multiple output sets (SMVIPMOS). We propose a new iterative scheme, which …

Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity

GN Ogwo, C Izuchukwu, OT Mewomo - Numerical Algorithms, 2021 - Springer
In solving the split variational inequality problems, very few methods have been considered
in the literature and most of these few methods require the underlying operators to be co …

Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

GN Ogwo, C Izuchukwu, Y Shehu… - Journal of Scientific …, 2022 - Springer
In this paper, we present two new relaxed inertial subgradient extragradient methods for
solving variational inequality problems in a real Hilbert space. We establish the …

Strong convergence results for quasimonotone variational inequalities

TO Alakoya, OT Mewomo, Y Shehu - Mathematical Methods of Operations …, 2022 - Springer
A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …

An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions

C Izuchukwu, GN Ogwo, OT Mewomo - Optimization, 2022 - Taylor & Francis
In this paper, we propose a new inertial extrapolation method for solving the generalized
split feasibility problems over the solution set of monotone variational inclusion problems in …

Inertial-type algorithm for solving split common fixed point problems in Banach spaces

A Taiwo, LO Jolaoso, OT Mewomo - Journal of Scientific Computing, 2021 - Springer
In this paper, motivated by the works of Kohsaka and Takahashi (SIAM J Optim 19: 824–835,
2008) and Aoyama et al.(J Nonlinear Convex Anal 10: 131–147, 2009) on the class of …

An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type …

TO Alakoya, A Taiwo, OT Mewomo, YJ Cho - ANNALI DELL'UNIVERSITA' …, 2021 - Springer
In this paper, we study a classical monotone and Lipschitz continuous variational inequality
and fixed point problems defined on a level set of a convex function in the framework of …

Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces

A Gibali, LO Jolaoso, OT Mewomo, A Taiwo - Results in Mathematics, 2020 - Springer
In this paper, we study the problem of finding a common solution to variational inequality
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …

An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces

EC Godwin, C Izuchukwu, OT Mewomo - Bollettino dell'Unione …, 2021 - Springer
In this paper, we propose a new inertial extrapolation method for solving a certain class of
generalized split feasibility problems in two real Hilbert spaces. We prove that the proposed …